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Exercises · 7.5

Q.Alcohols are comparatively more soluble in water than hydrocarbons of comparable molecular masses. Explain this fact.

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Alcohols dissolve in water because their –OH group forms hydrogen bonds with water molecules, overcoming the energy cost of breaking water’s own hydrogen bonds. Hydrocarbons lack this ability, so they remain largely insoluble. The result: alcohols are far more water‑soluble than hydrocarbons of similar molecular mass.

The key lies in intermolecular forces. Water is a strongly hydrogen‑bonded liquid. For any substance to dissolve in water, it must be able to interact with water molecules in a similar way — either by forming hydrogen bonds itself or by being polar enough to engage in dipole‑dipole or ion‑dipole attractions. Hydrocarbons, being non‑polar, can only offer weak van der Waals forces, which are too feeble to compensate for the energy needed to break water’s hydrogen‑bond network. Alcohols, however, carry an –OH group that is both a hydrogen‑bond donor and acceptor, allowing them to “fit” into water’s structure.

Let’s walk through the reasoning step by step.

  1. What happens when a solute dissolves?

    Dissolution involves three energy steps:

    • Breaking solute‑solute attractions (endothermic).
    • Breaking solvent‑solvent attractions (endothermic).
    • Forming solute‑solvent attractions (exothermic). For a substance to dissolve appreciably, the net energy change must be favourable (or at least not too unfavourable), and the entropy change must be positive. In water, the solvent‑solvent attractions are hydrogen bonds — each water molecule can form up to four of them, and breaking these costs significant energy.
  2. Hydrocarbons: the problem of non‑polarity

    A hydrocarbon like hexane (CX6HX14\ce{C6H14}) has only C−C\ce{C–C} and C−H\ce{C–H} bonds. These are non‑polar, so the molecule has no permanent dipole. The only attractions between hydrocarbon molecules are weak London dispersion forces. When you try to dissolve hexane in water:

    • Breaking hexane‑hexane attractions costs little energy (dispersion forces are weak).
    • But breaking water‑water hydrogen bonds costs a lot — roughly 20 kJ mol−120\ \text{kJ mol}^{-1} per bond.
    • The new hexane‑water attractions are only weak dipole‑induced dipole forces, which release far less energy than the hydrogen bonds that were broken. The net result is a large positive enthalpy of mixing. Moreover, the water molecules become more ordered around the hydrocarbon (the “hydrophobic effect”), decreasing entropy. Both enthalpy and entropy oppose dissolution — hence hydrocarbons are practically insoluble in water.
  3. Alcohols: the –OH group changes everything

    An alcohol like ethanol (CX2HX5OH\ce{C2H5OH}) has a hydrocarbon “tail” (CX2HX5X−\ce{C2H5-}) and a polar “head” (−OH\ce{-OH}). The –OH group is structurally similar to water: it has an O−H\ce{O–H} bond and lone pairs on oxygen, so it can both donate and accept hydrogen bonds.

    • When ethanol is added to water, the –OH group forms hydrogen bonds with water molecules.
    • The energy released by forming these new O−H⋯O\ce{O–H\cdots O} bonds is comparable to the energy of the water‑water hydrogen bonds that were broken.
    • The hydrocarbon tail still contributes only weak dispersion forces, but for small alcohols (methanol, ethanol, propanol) the tail is short enough that its disruptive effect is small. The net enthalpy change is small (often slightly exothermic for methanol/ethanol), and the entropy change is favourable because the alcohol molecules are small and mix freely. Hence, lower alcohols are completely miscible with water.
  4. Why “comparatively more soluble” is the right phrase …

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